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Finding the Fourth Proportional to 4,209.84, 6,314.74 and 2,259.36

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Solution

The fourth proportional to 4,209.84, 6,314.74 and 2,259.36 is: 3,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.84 : 6,314.74 = 2,259.36 : x
  2. Step 2: Convert to fraction form
    4,209.84/6,314.74 = 2,259.36/x
  3. Step 3: Cross multiply
    4,209.84x = 6,314.74 × 2,259.36
  4. Step 4: Simplify right side
    4,209.84x = 14,267,270.97
  5. Step 5: Solve for x
    x = 14,267,270.97/4,209.84
  6. Step 6: Final answer
    x = 3,389.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.